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  • His Erdös number is 2. He was one of the primary verifiers of [[M32]], [[M33]], and [[M34]].
    3 KB (431 words) - 11:36, 14 January 2024
  • | top5000id=2 ...hort hand used to refer to the 38th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|6972593}}</sup>-1. This number was discovered to be [[prime]] on
    1 KB (165 words) - 11:10, 18 February 2019
  • ...ers employee from Michigan who discovered the [[M38|38th Mersenne prime]], 2<sup>{{Num|6972593}}</sup>-1.
    809 bytes (109 words) - 23:55, 14 January 2024
  • ...s are coprime with a probability over 60% (the exact number is <math>6/\pi^2</math>).
    738 bytes (112 words) - 09:50, 23 January 2019
  • ...s arithmetic modulo 12 and the set of numbers representing the hours 0, 1, 2, 3,..., 11 is known as <b>Z</b>/12<b>Z</b>. ...</b>/n<b>Z</b> of numbers modulo n contains the numbers 0, 1, 2, 3, ..., n-2 and n-1. The following operations are defined:
    4 KB (625 words) - 10:25, 23 January 2019
  • ...math>ab\,\equiv \,c\,\pmod{m}</math>. We will also assume that <math>m\,<\,2^n</math>. :<math>a'=2^n\,a\,\bmod{m}</math>.
    4 KB (582 words) - 17:01, 29 August 2022
  • ...iplication|multiplying]] lots of different prime numbers together. So that 2 x 3 x 5 x 7 x 11 x 13 etc will be a highly composite number. But that is on ...,9</math> is a quadratic expression (because the highest power of ''x'' is 2).
    19 KB (3,181 words) - 22:27, 6 July 2023
  • Specifically 2<sup>{{Num|1398269}}</sup>-1, written out in full [http://www.mersenneforum.
    2 KB (224 words) - 11:00, 18 February 2019
  • ...ter]]. Robinson's Mersenne primes were the first to be found in 75 years (2 in the very first day of the run, no less). And he raised the number of dig ...ugust of 2008, a Dell Optplex 745 (running a Intel Core 2 Duo E6600 CPU at 2.4GHz) in the UCLA Math department computer lab, found [[M47|47th Mersenne p
    2 KB (347 words) - 14:54, 19 September 2021
  • ...e [[Mersenne number]]s were all composite except for 17 values of ''n'' = 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, [[M12|127]], [[M13|521]], [[M14|607]
    4 KB (526 words) - 14:51, 19 September 2021
  • ...hort hand used to refer to the 36th [[Mersenne prime]], specifically it is 2<sup>{{Num|2976221}}</sup>-1. This number was dicovered to be [[prime]] on 1 The corresponding [[perfect number]] is 2<sup>{{Num|2976220}}</sup> &bull; (2<sup>{{Num|2976221}}</sup>-1). This number is {{Num|1791864}} digits long.
    2 KB (279 words) - 11:01, 18 February 2019
  • |0||1||2||3||4||5||6||7||8||9||10||11||12||13||14||15||16||17||18||19||20||21||22||2 ...th prime 2 24737|24737]], [[Proth prime 2 55459|55459]], and [[Proth prime 2 67607|67607]] (current status [https://www.primegrid.com/stats_sob_llr.php
    5 KB (650 words) - 10:25, 26 March 2024
  • :Found factor [[Proth prime 2 5|{{Kbn|+|5|2|39}}]] of {{DGF|36}}
    2 KB (195 words) - 00:13, 15 January 2024
  • The aim of the project is to find [[prime]]s of the form <math>k*2^n+1</math>, where ''k'' is one of the remaining 17 (now 5) candidates for [ |format=,*[[%PAGE%|²{#titleparts:%TITLE%¦1¦2}²]]\n,,
    3 KB (544 words) - 16:44, 21 July 2019
  • | rank= 2 | pdigits= 2
    193 bytes (19 words) - 13:43, 17 February 2019
  • | digits= 2
    194 bytes (19 words) - 13:43, 17 February 2019
  • ...r positive divisors and 1 + 2 + 3 = 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. The next perfect numbers are 496 and 8128. ...irst four perfect numbers are generated by the formula 2<sup>''n''-1</sup>(2<sup>''n''</sup>-1):
    6 KB (885 words) - 11:33, 7 March 2019
  • The ninth [[Mersenne prime]], 2<sup>61</sup>-1 or {{Num|2305843009213693951}}. ...prime number, ([[Édouard Lucas]] having shown earlier that [[M12]], <math>2^{127}-1</math> is also prime), and it remained so until 1911. Prior to the
    2 KB (213 words) - 14:30, 17 February 2019
  • ...volved 2 independent double checks. [[Mlucas]] and [[Glucas]] are used and 2 different processor types are used. [[Landon Curt Noll]]'s [[Mprime (Cray)|
    2 KB (373 words) - 15:08, 5 June 2019
  • Here is the Lucas test for <math>2^7-1</math>, which is 127: :S1 = (4 * 4 - 2) mod 127 = 14
    1 KB (235 words) - 10:24, 6 February 2019

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